Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
209901	Simplify	square root of cube root of 8	$\sqrt{\sqrt[3]{8}}$
209902	Solve for x	log base 2 of x^2+7- log base 2 of 2x+3=3	$\log_{2} (x^{2} + 7) - \log_{2} (2 x + 3) = 3$
209903	Simplify	(12m^5w^6)/(3w^4)*(5(m^4)^3)/(w^-3)	$\frac{12 m^{5} w^{6}}{3 w^{4}} \cdot \frac{5 {(m^{4})}^{3}}{w^{- 3}}$
209904	Solve Using the Quadratic Formula	4(3x-8)^2=4	$4 {(3 x - 8)}^{2} = 4$
209905	Simplify	(h^2i-3h^2i^2)/(hi)+(3h^2+9h^2i)/(3h)	$\frac{h^{2} i - 3 h^{2} i^{2}}{h i} + \frac{3 h^{2} + 9 h^{2} i}{3 h}$
209906	Solve the Inequality for s	s+1<=7	$s + 1 \leq 7$
209907	Factor	7y+2xy-10x-35	$7 y + 2 x y - 10 x - 35$
209908	Simplify	(2n^2-3)(n^2+5n-1)	$(2 n^{2} - 3) (n^{2} + 5 n - 1)$
209909	Solve the Inequality for h	h+4<6	$h + 4 < 6$
209910	Evaluate	square root of 3x=12	$\sqrt{3 x} = 12$
209911	Solve for v	2+ square root of 90-v=11	$2 + \sqrt{90 - v} = 11$
209912	Evaluate	2/3* square root of 2.25+1/6* square root of 8100	$\frac{2}{3} \cdot \sqrt{2.25} + \frac{1}{6} \cdot \sqrt{8100}$
209913	Find the Excluded Values	(x^2+x-6)/(x^2+8x+15)	$\frac{x^{2} + x - 6}{x^{2} + 8 x + 15}$
209914	Simplify the Radical Expression	6 square root of 75mp^2q^3	$6 \sqrt{75 m p^{2} q^{3}}$
209915	Multiply	(3xy-7)^2	${(3 x y - 7)}^{2}$
209916	Solve for E	A=(B-C)/(D-E)	$A = \frac{B - C}{D - E}$
209917	Write in Slope-Intercept Form	(6,-1) and (3,-7)	$(6, - 1)$ and $(3, - 7)$
209918	Solve for x	sec(x)^2=-1	$\sec^{2} (x) = - 1$
209919	Solve for b	1.8(b-5.3)-4.2=5.8(b-2.3)	$1.8 (b - 5.3) - 4.2 = 5.8 (b - 2.3)$
209920	Simplify	6(x+7)+(x+3)	$6 (x + 7) + (x + 3)$
209921	Simplify	cube root of 54m^8* cube root of 5m^4	$\sqrt[3]{54 m^{8}} \cdot \sqrt[3]{5 m^{4}}$
209922	Solve the Inequality for x	1/3x+8<=11	$\frac{1}{3} x + 8 \leq 11$
209923	Simplify	((5x^3y)/(20xy^5))	$(\frac{5 x^{3} y}{20 x y^{5}})$
209924	Simplify the Radical Expression	5x1/2	$5 x \frac{1}{2}$
209925	Find the Product	(3+a+b)^2	${(3 + a + b)}^{2}$
209926	Graph	x^2+y>4	$x^{2} + y > 4$
209927	Simplify	(6x^3)/7*(4x^3)/3	$\frac{6 x^{3}}{7} \cdot \frac{4 x^{3}}{3}$
209928	Simplify	2^3*5^-2	$2^{3} \cdot 5^{- 2}$
209929	Simplify	(3^6)/(3^-4)*3^-1	$\frac{3^{6}}{3^{- 4}} \cdot 3^{- 1}$
209930	Simplify	(cos(x)^2)/(tan(x))+(tan(x))/(sec(x)^2)	$\frac{\cos^{2} (x)}{\tan (x)} + \frac{\tan (x)}{\sec^{2} (x)}$
209931	Divide	((3/5)(2/5))÷(4/7)	$((\frac{3}{5}) (\frac{2}{5})) \div \frac{4}{7}$
209932	Simplify	( cube root of 16w^6)( cube root of 2w^6)	$(\sqrt[3]{16 w^{6}}) (\sqrt[3]{2 w^{6}})$
209933	Find the Exact Value	sin(0 degrees )+cot(45 degrees )	$\sin (0 °) + \cot (45 °)$
209934	Simplify	square root of 144x^3+ square root of 121x^3-x square root of 36x	$\sqrt{144 x^{3}} + \sqrt{121 x^{3}} - x \sqrt{36 x}$
209935	Evaluate	Evaluate (5^6)/(5^2)	Evaluate $\frac{5^{6}}{5^{2}}$
209936	Solve for y	A=x+y+z	$A = x + y + z$
209937	Combine Like Terms	15v+8w-9v-6v-2w	$15 v + 8 w - 9 v - 6 v - 2 w$
209938	Solve Using the Quadratic Formula	x^2+10x+8=x	$x^{2} + 10 x + 8 = x$
209939	Solve for n	square root of 3n+1=5	$\sqrt{3 n + 1} = 5$
209940	Evaluate	square root of fourth root of 256	$\sqrt{\sqrt[4]{256}}$
209941	Solve the Rational Equation for x	(3x^2+1)/(x-1)+x=4+4/(x-1)	$\frac{3 x^{2} + 1}{x - 1} + x = 4 + \frac{4}{x - 1}$
209942	Simplify	(9x^2-y^2)÷(3x+y)	$(9 x^{2} - y^{2}) \div (3 x + y)$
209943	Evaluate	5 square root of 5x+2=10	$5 \sqrt{5 x + 2} = 10$
209944	Solve the Inequality for x	-7+x>=-8	$- 7 + x \geq - 8$
209945	Simplify	-3i^26-11i^14+i^23+7i^11	$- 3 i^{26} - 11 i^{14} + i^{23} + 7 i^{11}$
209946	Solve for q	m=(2q-5)/(q-3)	$m = \frac{2 q - 5}{q - 3}$
209947	Simplify	(-3/(x^5y^3))(4/(x^4y))	$(- \frac{3}{x^{5} y^{3}}) (\frac{4}{x^{4} y})$
209948	Solve for x	- square root of x-2+6=2	$- \sqrt{x - 2} + 6 = 2$
209949	Solve the Inequality for x	\|3x\|>6	$\| 3 x \| > 6$
209950	Simplify	(x^2+11x+18)/(5-x)(x^2-2x-15)/(x^2+12x+27)(x^2+x-72)/(x^2+x-72)	$\frac{x^{2} + 11 x + 18}{5 - x} \cdot \frac{x^{2} - 2 x - 15}{x^{2} + 12 x + 27} \cdot \frac{x^{2} + x - 72}{x^{2} + x - 72}$
209951	Solve the Inequality for x	x^2+x+7<10x-1	$x^{2} + x + 7 < 10 x - 1$
209952	Solve the Inequality for v	8+\|4v-7\|>=17	$8 + \| 4 v - 7 \| \geq 17$
209953	Solve for x	6^x>80	$6^{x} > 80$
209954	Find the Roots (Zeros)	(2x-3)(5x+1)=2x+2/5	$(2 x - 3) (5 x + 1) = 2 x + \frac{2}{5}$
209955	Simplify	square root of cube root of 4a^2	$\sqrt{\sqrt[3]{4 a^{2}}}$
209956	Solve for x	x^(2/3)-60=40	$x^{\frac{2}{3}} - 60 = 40$
209957	Solve for a	a = square root of 3a+18	$a = \sqrt{3 a + 18}$
209958	Determine if True	cot(theta)sin(theta)cos(theta)=1-sin(theta)^2	$\cot (θ) \sin (θ) \cos (θ) = 1 - \sin^{2} (θ)$
209959	Simplify	i^20i^32i^19	$i^{20} \cdot i^{32} \cdot i^{19}$
209960	Solve Using the Quadratic Formula	(2x-3)(5x+1)=2x+2/5	$(2 x - 3) (5 x + 1) = 2 x + \frac{2}{5}$
209961	Simplify	(4h^3k^2)/7*(21hk^5)/2	$\frac{4 h^{3} k^{2}}{7} \cdot \frac{21 h k^{5}}{2}$
209962	Simplify	(3w^5)(-m)^4	$(3 w^{5}) {(- m)}^{4}$
209963	Solve for x	(10x)/(x+4)=(x^2)/(x+4)+3	$\frac{10 x}{x + 4} = \frac{x^{2}}{x + 4} + 3$
209964	Solve for n	3( fourth root of 2n+6)-6=0	$3 (\sqrt[4]{2 n + 6}) - 6 = 0$
209965	Solve the Inequality for w	7.2-3w<4.5	$7.2 - 3 w < 4.5$
209966	Simplify	5/6i-1/3i	$\frac{5}{6} i - \frac{1}{3} i$
209967	Simplify	((x^-1y^0)/(2xy^0))^-3	${(\frac{x^{- 1} y^{0}}{2 x y^{0}})}^{- 3}$
209968	Simplify	( square root of 8)÷( square root of 3)	$\sqrt{8} \div \sqrt{3}$
209969	Find the Holes in the Graph	(x^2+x)/(4x+4)	$\frac{x^{2} + x}{4 x + 4}$
209970	Graph	x+y<=10 x-y>=2 y>2	$x + y \leq 10$ $x - y \geq 2$ $y > 2$
209971	Find the Exact Value	sin(arccos(0))	$\sin (\arccos (0))$
209972	Convert to Logarithmic Form	(1/3)^3=(1/27)	${(\frac{1}{3})}^{3} = (\frac{1}{27})$
209973	Simplify	((3ab)/(4xy))÷(-(21a^2b)/(10x^2y))	$\frac{3 a b}{4 x y} \div (- \frac{21 a^{2} b}{10 x^{2} y})$
209974	Graph	64-x^2=y^2	$64 - x^{2} = y^{2}$
209975	Solve the Inequality for x	x>=2/(x+1)	$x \geq \frac{2}{x + 1}$
209976	Simplify	(ab^4c^3)/(a^4b^7c^2)	$\frac{a b^{4} c^{3}}{a^{4} b^{7} c^{2}}$
209977	Divide Using Long Polynomial Division	x^3-3x+2 , x+2	$x^{3} - 3 x + 2$ , $x + 2$
209978	Solve by Graphing	y=-2/5x+8 x-y=-1	$y = - \frac{2}{5} x + 8$ $x - y = - 1$
209979	Multiply	3x(x^2-4)(5-3x)	$3 x (x^{2} - 4) (5 - 3 x)$
209980	Evaluate	(1+0.08/1)^(1/4)-1	${(1 + \frac{0.08}{1})}^{\frac{1}{4}} - 1$
209981	Solve for x	(x+1)/6=(x-1)/x	$\frac{x + 1}{6} = \frac{x - 1}{x}$
209982	Simplify	1/(12y^4)+(y-4)/(4y^5)	$\frac{1}{12 y^{4}} + \frac{y - 4}{4 y^{5}}$
209983	Find the Exact Value	(( square root of 3)/2)÷(1/2)	$\frac{\sqrt{3}}{2} \div \frac{1}{2}$
209984	Solve the Inequality for X	X/13+3>=4	$\frac{X}{13} + 3 \geq 4$
209985	Find the Roots (Zeros)	y=4(x+1)^3+8	$y = 4 {(x + 1)}^{3} + 8$
209986	Solve the System of Inequalities	-7x-50<=-1 AND -6x+70>-2	$- 7 x - 50 \leq - 1$ AND $- 6 x + 70 > - 2$
209987	Simplify	a-(5b-(a-(3b-2c)+c-(a-2b-c)))	$a - (5 b - (a - (3 b - 2 c) + c - (a - 2 b - c)))$
209988	Convert to a Decimal	-4pirad	$- 4 π$ radians
209989	Graph	2x+7y>5 and 3x-y<=2	$2 x + 7 y > 5$ and $3 x - y \leq 2$
209990	Simplify	(-243/8)^(-2/5)	${(- \frac{243}{8})}^{- \frac{2}{5}}$
209991	Graph	y = natural log of 3x+4+3	$y = \ln (3 x + 4) + 3$
209992	Evaluate	2+3+4=5+4	$2 + 3 + 4 = 5 + 4$
209993	Simplify the Radical Expression	4 square root of 3* square root of 12	$4 \sqrt{3} \cdot \sqrt{12}$
209994	Find the Domain and Range	f(x)=-(1/3)^(x+4)	$f (x) = - {(\frac{1}{3})}^{x + 4}$
209995	Write as a Single Logarithm	-5/2 log base 2 of 4-4 log base 2 of x+3/2 log base 2 of y	$- \frac{5}{2} \log_{2} (4) - 4 \log_{2} (x) + \frac{3}{2} \log_{2} (y)$
209996	Convert to Interval Notation	x<-1/2	$x < - \frac{1}{2}$
209997	Find the Product	2x(3x^2-5)	$2 x (3 x^{2} - 5)$
209998	Subtract	0--10	$0 - - 10$
209999	Simplify	(16x)÷2xy	$16 x \div 2 x y$
210000	Solve by Addition/Elimination	x=3y+11 2x-3y=16	$x = 3 y + 11$ $2 x - 3 y = 16$